Home / 1,210.14-1,814.83-770.77

Finding the Fourth Proportional to 1,210.14, 1,814.83 and 770.77

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Solution

The fourth proportional to 1,210.14, 1,814.83 and 770.77 is: 1,155.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210.14 : 1,814.83 = 770.77 : x
  2. Step 2: Convert to fraction form
    1,210.14/1,814.83 = 770.77/x
  3. Step 3: Cross multiply
    1,210.14x = 1,814.83 × 770.77
  4. Step 4: Simplify right side
    1,210.14x = 1,398,808.82
  5. Step 5: Solve for x
    x = 1,398,808.82/1,210.14
  6. Step 6: Final answer
    x = 1,155.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.